Given the admittances of the circuit as shown: Y1 = 0.2-j0.1 S Y2 = 0.125-j0.25 S Y3 = 0.2-j0.1 S Y4 = 0.1 S Y5 = 0.25 + j0.25 S Calculate the: a. total impedance b. total current c. total apparent power d. power factor of the circuit. 100V Y2 13
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- Q2. A series of motor (Load 1) and lighting (load 2) are connected to an AC source as shown in Figure Q2. The AC source, Vs, supplies 415220° V with frequency 50 Hz. Based on this information: 5Ω 100mH : 15 2 Load 1 Load 2 i) Calculate the total load impedance. Vs ii) Calculate the current, I. Figure Q2. Write the waveform expressions in frequency domain for Vs and I. Draw a phasor diagram consists of Vs and / and state the relationship between Vs and I. (ii) (iv) Determine the power factor and calculate the real power, reactive power and apparent power. Establish the power triangle for the load.Consider the system in the figure to the right. The Zbus for the system is given as follows: [j0.411 j0.310 j0.3541 Zbusj0.310 j0.446 j0.333 Lj0.354 j0.333 j0.450] j0.8 1.28/0 ele j0.2 vor j2.0 j0.5 m j0.4 m 2 a) Find the voltage at each bus. b) Find the current drawn by a capacitor having a reactance of 5.0 PU connected from bus 3 to the reference. c) Find the change in voltage at each bus when the capacitor is connected at bus 3. d) Find the voltage at each bus after connecting the capacitor. j1.0 1.20/30°Two impedances Z₁ and Z2 are connected in series to a voltage source with voltage Vs volts. Let V₁ be the voltage across Z₁ and V₂ be the voltage across Z2. Then, the total voltage Vs is divided between V₁ and V2 in proportion to impedance values Z₁ and Z2. O a. True O b. False
- Fill in the table for a correctly wired duplex outlet (U.S. National Electric Code standards for voltage PARAMETER EQUATION and frequency). Note the used of double- subscript notation. You can assume a 0° phase reference for Vba(t). Vba(t) Vea(t) Vbe(t) Vba (Peak Phasor) Vea (Peak Phasor) Vbc (Peak Phasor) Vba (RMS Phasor) Vea (RMS Phasor) Vbc (RMS Phasor) A CThe values of the elements for the given circuit are given below.The maximum average power that can be transferred to the ZL load iswhich one?R1 = 400 OhmsL = 1000j OhmsR2 = 500 OhmsDriving-point admittance The actual impedance of a load is 30 OHM. The per-unit impedance of the load is 0.5 pu when Base Voltage is 600 V and Base Power is of O 6000 VA O 8000 VA O2000 VA 4000 VA Jump to ncements MacBook Air DD DII F10 F9 F8 000 F7 F6
- Consider the circuit shown in Figure 1. V1 is a 7.2 kHz sine wave with an amplitude of 4 V.Figure 1: RC Circuit Schematic1. Determine the total impedance (Z) of the circuit.2. Using V1 as a zero-phase reference, calculate the values of the following:a) Amplitude and phase of current (I)b) Amplitude and phase of voltage across R1 (VR1)c) Amplitude and phase of voltage across C1 (VC1Q2. A series of motor (Load 1) and lighting (load 2) are connected to an AC source as shown in Figure Q2. The AC source, Vs, supplies 415420° V with frequency 50 Hz. Based on this information: 50 100 mH 150 Load 1 Load 2 i) Calculate the total load impedance Vs ii) Calculate the current, I. Figure Q2. (iii) Write the waveform expressions in frequency domain for Vs and I. Draw a phasor diagram consists of Vs and I and state the relationship between Vs and I. (iv) Determine the power factor and calculate the real power, reactive power and apparent power. Establish the power triangle for the load.Q2. A series of motor (Load 1) and lighting (load 2) are connected to an AC source as shown in Figure Q2. The AC source, Vs, supplies 415420° V with frequency 50 Hz. Based on this information: sa 100 mH 150 Load 1 Load 2 i) Calculate the total load impedance. Vs ii) Calculate the current, I. Figure Q2. (iii) Write the waveform expressions in frequency domain for Vs and I. Draw a phasor diagram consists of Vs and / and state the relationship between Vs and I. (iv) Determine the power factor and calculate the real power, reactive power and apparent power. Establish the power triangle for the load.
- Q2. A series of motor (Load 1) and lighting (load 2) are connected to an AC source as shown in Figure Q2. The AC source, Vs, supplies 415220° V with frequency 50 Hz. Based on this information: 5Ω 100 mH 15 Q Load 1 Load 2 i) Calculate the total load impedance. Vs ii) Calculate the current, I. Figure Q2. (ii) Write the waveform expressions in frequency domain for Vs and I. Draw a phasor diagram consists of Vs and I and state the relationship between Vs and I. Determine the power factor and calculate the real power, reactive power and apparent power. Establish the power triangle for the load. (iv)AC Circuits Current, Voltage, Power, Power Factor and Phasor Diagrams. Consider the circuit shown in Figure 3. (i) Find the total impedance ZT as seen by the voltage source. (ii) Find the total current IT supplied by the source. (iii) Sketch phasor diagram of Vs and IT and State whether IT leads or lags Vs (iv) Determine the power factor angle for the circuit. 9. L R1 1002 0.213H IT Vs R3 1502 C 12020°V 22µF 60HZ R2 50Ω Figure 3 Answers |(1) Zr = (ii) IT= (iii)The total power drawn by the two-impedance load in parallel is 26kW at 0.98 power factor lagging, it is being supplied by a 230-volts AC source. One of the loads (Load 1) takes 16kVA at 0.77 power factor lagging. What is the reactive power of the unknown impedance (Load 2)?